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Simplifying 12 + -2(3a + -5) = 0 Reorder the terms: 12 + -2(-5 + 3a) = 0 12 + (-5 * -2 + 3a * -2) = 0 12 + (10 + -6a) = 0 Combine like terms: 12 + 10 = 22 22 + -6a = 0 Solving 22 + -6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -6a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -6a = 0 + -22 -6a = 0 + -22 Combine like terms: 0 + -22 = -22 -6a = -22 Divide each side by '-6'. a = 3.666666667 Simplifying a = 3.666666667
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